Goof Off. Get it at Home Depot. Methyl Carbitol is the main ingredient of this remover. Use more than adequate ventilation. It will move laquer paint from a stopsign, cinder block wall, etc. This shiat works. Get some. Don't get the water based version, get the good shiate. It will also remove completely dried latex paint.
You could also consider a carpet inlet, if it is damaged. A good carpet kicker can release an edge of carpet from the wall, cut out a pattern and glue/iron in a contrasting piece of carpet for much less than complete replacement, and then kick the carpet (stretch) it back on the carpet tacks. Did you keep a large scrap from your original install? Most damaging spills occur within the first year of carpet install. Conscientious carpet kickers will leave a large scrap with a home owner for such emergencies.
I know, I have seen me do it.
Goof off will remove years of built up grease from a range or range hood. I love this stuff, keep it on the shelf at all times. Now I am thinking...........maybe I will clean my rifle barrel with it......hmmmmm